Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates

被引：6

作者：

Costa, Joao L. ^{[1
,2
]}

Mena, Filipe C. ^{[2
,3
]}

机构：

[1] Inst Univ Lisboa ISCTE IUL, Av Forcas Armadas, P-1649026 Lisbon, Portugal

[2] Univ Lisbon, Ctr Anal Matemat Geometria & Sistemas Dinam, Inst Super Tecn, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal

[3] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2021年 / 18卷 / 02期

关键词：

Einstein field equations; global existence of solutions; asymptotic analysis; NONLINEAR FUTURE STABILITY; COSMIC NO-HAIR; FLRW FAMILY; ASYMPTOTICS; EXISTENCE; EQUATIONS;

D O I：

10.1142/S0219891621500107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a characteristic initial value problem, with initial data given on a future null cone, for the Einstein (massless) scalar field system with a positive cosmological constant, in Bondi coordinates. We prove that, for small data, this system has a unique global classical solution which is causally geodesically complete to the future and decays polynomially in radius and exponentially in Bondi time, approaching the de Sitter solution.

引用

页码：311 / 341

页数：31

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